90616320000 has 1300 divisors, whose sum is σ = 371547691680. Its totient is φ = 21897216000.

The previous prime is 90616319957. The next prime is 90616320013. The reversal of 90616320000 is 2361609.

It is a happy number.

It is a super-2 number, since 2×90616320000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 3939839989 + ... + 3939840011.

Almost surely, 2^90616320000 is an apocalyptic number.

90616320000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90616320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185773845840).

90616320000 is an abundant number, since it is smaller than the sum of its proper divisors (280931371680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90616320000 is an equidigital number, since it uses as much as digits as its factorization.

90616320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 90616320000 its reverse (2361609), we get a palindrome (90618681609).

The spelling of 90616320000 in words is "ninety billion, six hundred sixteen million, three hundred twenty thousand".